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Finding the Third Proportional to 98,357,481 and 146,739,060

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Solution

The third proportional to 98,357,481 and 146,739,060 is: 218,919,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,357,481 : 146,739,060 = 146,739,060 : x
  2. Step 2: Convert to fraction form
    98,357,481/146,739,060 = 146,739,060/x
  3. Step 3: Cross multiply
    98,357,481x = 146,739,060 × 146,739,060
  4. Step 4: Simplify right side
    98,357,481x = 21,532,351,729,683,600
  5. Step 5: Solve for x
    x = 21,532,351,729,683,600/98,357,481
  6. Step 6: Final answer
    x = 218,919,308.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.