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Finding the Third Proportional to 97,010,902 and 145,480,731

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Solution

The third proportional to 97,010,902 and 145,480,731 is: 218,167,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,010,902 : 145,480,731 = 145,480,731 : x
  2. Step 2: Convert to fraction form
    97,010,902/145,480,731 = 145,480,731/x
  3. Step 3: Cross multiply
    97,010,902x = 145,480,731 × 145,480,731
  4. Step 4: Simplify right side
    97,010,902x = 21,164,643,092,294,360
  5. Step 5: Solve for x
    x = 21,164,643,092,294,360/97,010,902
  6. Step 6: Final answer
    x = 218,167,676.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.