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Finding the Third Proportional to 48,573,081 and 105,217,434

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Solution

The third proportional to 48,573,081 and 105,217,434 is: 227,918,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,573,081 : 105,217,434 = 105,217,434 : x
  2. Step 2: Convert to fraction form
    48,573,081/105,217,434 = 105,217,434/x
  3. Step 3: Cross multiply
    48,573,081x = 105,217,434 × 105,217,434
  4. Step 4: Simplify right side
    48,573,081x = 11,070,708,417,544,356
  5. Step 5: Solve for x
    x = 11,070,708,417,544,356/48,573,081
  6. Step 6: Final answer
    x = 227,918,595.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.