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Finding the Third Proportional to 141,068,638.13 and 305,678,463.19

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Solution

The third proportional to 141,068,638.13 and 305,678,463.19 is: 662,367,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,068,638.13 : 305,678,463.19 = 305,678,463.19 : x
  2. Step 2: Convert to fraction form
    141,068,638.13/305,678,463.19 = 305,678,463.19/x
  3. Step 3: Cross multiply
    141,068,638.13x = 305,678,463.19 × 305,678,463.19
  4. Step 4: Simplify right side
    141,068,638.13x = 93,439,322,856,671,792
  5. Step 5: Solve for x
    x = 93,439,322,856,671,792/141,068,638.13
  6. Step 6: Final answer
    x = 662,367,795.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.