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Finding the Third Proportional to 144,281,512.50 and 302,734,783.50

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Solution

The third proportional to 144,281,512.50 and 302,734,783.50 is: 635,205,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,281,512.50 : 302,734,783.50 = 302,734,783.50 : x
  2. Step 2: Convert to fraction form
    144,281,512.50/302,734,783.50 = 302,734,783.50/x
  3. Step 3: Cross multiply
    144,281,512.50x = 302,734,783.50 × 302,734,783.50
  4. Step 4: Simplify right side
    144,281,512.50x = 91,648,349,140,791,872
  5. Step 5: Solve for x
    x = 91,648,349,140,791,872/144,281,512.50
  6. Step 6: Final answer
    x = 635,205,076.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.