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Finding the Third Proportional to 70,337,848 and 106,241,748

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Solution

The third proportional to 70,337,848 and 106,241,748 is: 160,472,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,337,848 : 106,241,748 = 106,241,748 : x
  2. Step 2: Convert to fraction form
    70,337,848/106,241,748 = 106,241,748/x
  3. Step 3: Cross multiply
    70,337,848x = 106,241,748 × 106,241,748
  4. Step 4: Simplify right side
    70,337,848x = 11,287,309,018,095,504
  5. Step 5: Solve for x
    x = 11,287,309,018,095,504/70,337,848
  6. Step 6: Final answer
    x = 160,472,765.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.