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Finding the Third Proportional to 209,909,730 and 433,233,384

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Solution

The third proportional to 209,909,730 and 433,233,384 is: 894,151,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,909,730 : 433,233,384 = 433,233,384 : x
  2. Step 2: Convert to fraction form
    209,909,730/433,233,384 = 433,233,384/x
  3. Step 3: Cross multiply
    209,909,730x = 433,233,384 × 433,233,384
  4. Step 4: Simplify right side
    209,909,730x = 187,691,165,012,091,456
  5. Step 5: Solve for x
    x = 187,691,165,012,091,456/209,909,730
  6. Step 6: Final answer
    x = 894,151,809.98

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.