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Finding the Third Proportional to 108,833,976 and 236,799,495

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Solution

The third proportional to 108,833,976 and 236,799,495 is: 515,225,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,833,976 : 236,799,495 = 236,799,495 : x
  2. Step 2: Convert to fraction form
    108,833,976/236,799,495 = 236,799,495/x
  3. Step 3: Cross multiply
    108,833,976x = 236,799,495 × 236,799,495
  4. Step 4: Simplify right side
    108,833,976x = 56,074,000,832,255,024
  5. Step 5: Solve for x
    x = 56,074,000,832,255,024/108,833,976
  6. Step 6: Final answer
    x = 515,225,142.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.