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Finding the Third Proportional to 97,238,610 and 148,327,506

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Solution

The third proportional to 97,238,610 and 148,327,506 is: 226,258,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,238,610 : 148,327,506 = 148,327,506 : x
  2. Step 2: Convert to fraction form
    97,238,610/148,327,506 = 148,327,506/x
  3. Step 3: Cross multiply
    97,238,610x = 148,327,506 × 148,327,506
  4. Step 4: Simplify right side
    97,238,610x = 22,001,049,036,180,036
  5. Step 5: Solve for x
    x = 22,001,049,036,180,036/97,238,610
  6. Step 6: Final answer
    x = 226,258,366.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.