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Finding the Third Proportional to 104,853,046 and 229,861,484

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Solution

The third proportional to 104,853,046 and 229,861,484 is: 503,908,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,853,046 : 229,861,484 = 229,861,484 : x
  2. Step 2: Convert to fraction form
    104,853,046/229,861,484 = 229,861,484/x
  3. Step 3: Cross multiply
    104,853,046x = 229,861,484 × 229,861,484
  4. Step 4: Simplify right side
    104,853,046x = 52,836,301,826,682,256
  5. Step 5: Solve for x
    x = 52,836,301,826,682,256/104,853,046
  6. Step 6: Final answer
    x = 503,908,125.16

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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.