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Finding the Third Proportional to 98,889,464 and 145,475,436

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Solution

The third proportional to 98,889,464 and 145,475,436 is: 214,007,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,889,464 : 145,475,436 = 145,475,436 : x
  2. Step 2: Convert to fraction form
    98,889,464/145,475,436 = 145,475,436/x
  3. Step 3: Cross multiply
    98,889,464x = 145,475,436 × 145,475,436
  4. Step 4: Simplify right side
    98,889,464x = 21,163,102,479,390,096
  5. Step 5: Solve for x
    x = 21,163,102,479,390,096/98,889,464
  6. Step 6: Final answer
    x = 214,007,656.87

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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.