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Finding the Third Proportional to 73,140,306 and 157,287,972

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Solution

The third proportional to 73,140,306 and 157,287,972 is: 338,247,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,140,306 : 157,287,972 = 157,287,972 : x
  2. Step 2: Convert to fraction form
    73,140,306/157,287,972 = 157,287,972/x
  3. Step 3: Cross multiply
    73,140,306x = 157,287,972 × 157,287,972
  4. Step 4: Simplify right side
    73,140,306x = 24,739,506,135,872,784
  5. Step 5: Solve for x
    x = 24,739,506,135,872,784/73,140,306
  6. Step 6: Final answer
    x = 338,247,233.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.