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Finding the Third Proportional to 89,165,582 and 180,838,298

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Solution

The third proportional to 89,165,582 and 180,838,298 is: 366,761,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,165,582 : 180,838,298 = 180,838,298 : x
  2. Step 2: Convert to fraction form
    89,165,582/180,838,298 = 180,838,298/x
  3. Step 3: Cross multiply
    89,165,582x = 180,838,298 × 180,838,298
  4. Step 4: Simplify right side
    89,165,582x = 32,702,490,023,536,804
  5. Step 5: Solve for x
    x = 32,702,490,023,536,804/89,165,582
  6. Step 6: Final answer
    x = 366,761,358.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.