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Finding the Third Proportional to 55,369,948 and 121,165,730

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Solution

The third proportional to 55,369,948 and 121,165,730 is: 265,146,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,369,948 : 121,165,730 = 121,165,730 : x
  2. Step 2: Convert to fraction form
    55,369,948/121,165,730 = 121,165,730/x
  3. Step 3: Cross multiply
    55,369,948x = 121,165,730 × 121,165,730
  4. Step 4: Simplify right side
    55,369,948x = 14,681,134,126,432,900
  5. Step 5: Solve for x
    x = 14,681,134,126,432,900/55,369,948
  6. Step 6: Final answer
    x = 265,146,250.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.