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Finding the Third Proportional to 116,708,260 and 270,158,842

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Solution

The third proportional to 116,708,260 and 270,158,842 is: 625,369,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,708,260 : 270,158,842 = 270,158,842 : x
  2. Step 2: Convert to fraction form
    116,708,260/270,158,842 = 270,158,842/x
  3. Step 3: Cross multiply
    116,708,260x = 270,158,842 × 270,158,842
  4. Step 4: Simplify right side
    116,708,260x = 72,985,799,910,780,960
  5. Step 5: Solve for x
    x = 72,985,799,910,780,960/116,708,260
  6. Step 6: Final answer
    x = 625,369,617.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.