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Finding the Third Proportional to 48,573,034.50 and 105,217,332

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Solution

The third proportional to 48,573,034.50 and 105,217,332 is: 227,918,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,573,034.50 : 105,217,332 = 105,217,332 : x
  2. Step 2: Convert to fraction form
    48,573,034.50/105,217,332 = 105,217,332/x
  3. Step 3: Cross multiply
    48,573,034.50x = 105,217,332 × 105,217,332
  4. Step 4: Simplify right side
    48,573,034.50x = 11,070,686,953,198,224
  5. Step 5: Solve for x
    x = 11,070,686,953,198,224/48,573,034.50
  6. Step 6: Final answer
    x = 227,918,372.14

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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.