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Finding the Third Proportional to 55,369,314 and 121,159,599

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Solution

The third proportional to 55,369,314 and 121,159,599 is: 265,122,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,369,314 : 121,159,599 = 121,159,599 : x
  2. Step 2: Convert to fraction form
    55,369,314/121,159,599 = 121,159,599/x
  3. Step 3: Cross multiply
    55,369,314x = 121,159,599 × 121,159,599
  4. Step 4: Simplify right side
    55,369,314x = 14,679,648,429,840,800
  5. Step 5: Solve for x
    x = 14,679,648,429,840,800/55,369,314
  6. Step 6: Final answer
    x = 265,122,454.47

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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.