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Finding the Third Proportional to 223,881,066 and 484,433,745

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Solution

The third proportional to 223,881,066 and 484,433,745 is: 1,048,217,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,881,066 : 484,433,745 = 484,433,745 : x
  2. Step 2: Convert to fraction form
    223,881,066/484,433,745 = 484,433,745/x
  3. Step 3: Cross multiply
    223,881,066x = 484,433,745 × 484,433,745
  4. Step 4: Simplify right side
    223,881,066x = 234,676,053,294,725,024
  5. Step 5: Solve for x
    x = 234,676,053,294,725,024/223,881,066
  6. Step 6: Final answer
    x = 1,048,217,508.91

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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.