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Finding the Third Proportional to 98,600,841 and 153,870,374.25

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Solution

The third proportional to 98,600,841 and 153,870,374.25 is: 240,120,589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,600,841 : 153,870,374.25 = 153,870,374.25 : x
  2. Step 2: Convert to fraction form
    98,600,841/153,870,374.25 = 153,870,374.25/x
  3. Step 3: Cross multiply
    98,600,841x = 153,870,374.25 × 153,870,374.25
  4. Step 4: Simplify right side
    98,600,841x = 23,676,092,071,835,064
  5. Step 5: Solve for x
    x = 23,676,092,071,835,064/98,600,841
  6. Step 6: Final answer
    x = 240,120,589.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.