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Finding the Third Proportional to 235,087,729.50 and 548,968,327.50

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Solution

The third proportional to 235,087,729.50 and 548,968,327.50 is: 1,281,930,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,087,729.50 : 548,968,327.50 = 548,968,327.50 : x
  2. Step 2: Convert to fraction form
    235,087,729.50/548,968,327.50 = 548,968,327.50/x
  3. Step 3: Cross multiply
    235,087,729.50x = 548,968,327.50 × 548,968,327.50
  4. Step 4: Simplify right side
    235,087,729.50x = 301,366,224,598,147,264
  5. Step 5: Solve for x
    x = 301,366,224,598,147,264/235,087,729.50
  6. Step 6: Final answer
    x = 1,281,930,899.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.