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Finding the Third Proportional to 83,785,506 and 130,770,294

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Solution

The third proportional to 83,785,506 and 130,770,294 is: 204,102,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,785,506 : 130,770,294 = 130,770,294 : x
  2. Step 2: Convert to fraction form
    83,785,506/130,770,294 = 130,770,294/x
  3. Step 3: Cross multiply
    83,785,506x = 130,770,294 × 130,770,294
  4. Step 4: Simplify right side
    83,785,506x = 17,100,869,792,846,436
  5. Step 5: Solve for x
    x = 17,100,869,792,846,436/83,785,506
  6. Step 6: Final answer
    x = 204,102,960.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.