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Finding the Third Proportional to 52,488,385 and 114,454,132

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Solution

The third proportional to 52,488,385 and 114,454,132 is: 249,574,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,488,385 : 114,454,132 = 114,454,132 : x
  2. Step 2: Convert to fraction form
    52,488,385/114,454,132 = 114,454,132/x
  3. Step 3: Cross multiply
    52,488,385x = 114,454,132 × 114,454,132
  4. Step 4: Simplify right side
    52,488,385x = 13,099,748,331,873,424
  5. Step 5: Solve for x
    x = 13,099,748,331,873,424/52,488,385
  6. Step 6: Final answer
    x = 249,574,231.17

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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.