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Finding the Third Proportional to 48,713,234 and 106,001,960

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Solution

The third proportional to 48,713,234 and 106,001,960 is: 230,664,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,713,234 : 106,001,960 = 106,001,960 : x
  2. Step 2: Convert to fraction form
    48,713,234/106,001,960 = 106,001,960/x
  3. Step 3: Cross multiply
    48,713,234x = 106,001,960 × 106,001,960
  4. Step 4: Simplify right side
    48,713,234x = 11,236,415,523,841,600
  5. Step 5: Solve for x
    x = 11,236,415,523,841,600/48,713,234
  6. Step 6: Final answer
    x = 230,664,536.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.