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Finding the Third Proportional to 102,872,166.75 and 146,645,731.13

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Solution

The third proportional to 102,872,166.75 and 146,645,731.13 is: 209,045,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,872,166.75 : 146,645,731.13 = 146,645,731.13 : x
  2. Step 2: Convert to fraction form
    102,872,166.75/146,645,731.13 = 146,645,731.13/x
  3. Step 3: Cross multiply
    102,872,166.75x = 146,645,731.13 × 146,645,731.13
  4. Step 4: Simplify right side
    102,872,166.75x = 21,504,970,457,185,792
  5. Step 5: Solve for x
    x = 21,504,970,457,185,792/102,872,166.75
  6. Step 6: Final answer
    x = 209,045,567.30

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.