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Finding the Third Proportional to 121,025,862 and 181,662,696

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Solution

The third proportional to 121,025,862 and 181,662,696 is: 272,680,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,025,862 : 181,662,696 = 181,662,696 : x
  2. Step 2: Convert to fraction form
    121,025,862/181,662,696 = 181,662,696/x
  3. Step 3: Cross multiply
    121,025,862x = 181,662,696 × 181,662,696
  4. Step 4: Simplify right side
    121,025,862x = 33,001,335,117,988,416
  5. Step 5: Solve for x
    x = 33,001,335,117,988,416/121,025,862
  6. Step 6: Final answer
    x = 272,680,025.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.