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Finding the Third Proportional to 55,369,531 and 121,160,009

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Solution

The third proportional to 55,369,531 and 121,160,009 is: 265,123,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,369,531 : 121,160,009 = 121,160,009 : x
  2. Step 2: Convert to fraction form
    55,369,531/121,160,009 = 121,160,009/x
  3. Step 3: Cross multiply
    55,369,531x = 121,160,009 × 121,160,009
  4. Step 4: Simplify right side
    55,369,531x = 14,679,747,780,880,080
  5. Step 5: Solve for x
    x = 14,679,747,780,880,080/55,369,531
  6. Step 6: Final answer
    x = 265,123,209.75

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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.