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Finding the Third Proportional to 240,909,354,427.50 and 360,408,870,751.50

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Solution

The third proportional to 240,909,354,427.50 and 360,408,870,751.50 is: 539,184,351,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,909,354,427.50 : 360,408,870,751.50 = 360,408,870,751.50 : x
  2. Step 2: Convert to fraction form
    240,909,354,427.50/360,408,870,751.50 = 360,408,870,751.50/x
  3. Step 3: Cross multiply
    240,909,354,427.50x = 360,408,870,751.50 × 360,408,870,751.50
  4. Step 4: Simplify right side
    240,909,354,427.50x = 129,894,554,116,371,427,360,768
  5. Step 5: Solve for x
    x = 129,894,554,116,371,427,360,768/240,909,354,427.50
  6. Step 6: Final answer
    x = 539,184,351,828.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.