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Finding the Third Proportional to 101,371,960 and 157,038,472

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Solution

The third proportional to 101,371,960 and 157,038,472 is: 243,273,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,371,960 : 157,038,472 = 157,038,472 : x
  2. Step 2: Convert to fraction form
    101,371,960/157,038,472 = 157,038,472/x
  3. Step 3: Cross multiply
    101,371,960x = 157,038,472 × 157,038,472
  4. Step 4: Simplify right side
    101,371,960x = 24,661,081,688,094,784
  5. Step 5: Solve for x
    x = 24,661,081,688,094,784/101,371,960
  6. Step 6: Final answer
    x = 243,273,205.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.