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Finding the Third Proportional to 52,952,429 and 114,270,106

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Solution

The third proportional to 52,952,429 and 114,270,106 is: 246,592,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952,429 : 114,270,106 = 114,270,106 : x
  2. Step 2: Convert to fraction form
    52,952,429/114,270,106 = 114,270,106/x
  3. Step 3: Cross multiply
    52,952,429x = 114,270,106 × 114,270,106
  4. Step 4: Simplify right side
    52,952,429x = 13,057,657,125,251,236
  5. Step 5: Solve for x
    x = 13,057,657,125,251,236/52,952,429
  6. Step 6: Final answer
    x = 246,592,221.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.