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Finding the Third Proportional to 98,889,494 and 145,475,481

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Solution

The third proportional to 98,889,494 and 145,475,481 is: 214,007,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,889,494 : 145,475,481 = 145,475,481 : x
  2. Step 2: Convert to fraction form
    98,889,494/145,475,481 = 145,475,481/x
  3. Step 3: Cross multiply
    98,889,494x = 145,475,481 × 145,475,481
  4. Step 4: Simplify right side
    98,889,494x = 21,163,115,572,181,360
  5. Step 5: Solve for x
    x = 21,163,115,572,181,360/98,889,494
  6. Step 6: Final answer
    x = 214,007,724.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.