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Finding the Third Proportional to 165,975,903 and 247,618,606.50

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Solution

The third proportional to 165,975,903 and 247,618,606.50 is: 369,420,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,975,903 : 247,618,606.50 = 247,618,606.50 : x
  2. Step 2: Convert to fraction form
    165,975,903/247,618,606.50 = 247,618,606.50/x
  3. Step 3: Cross multiply
    165,975,903x = 247,618,606.50 × 247,618,606.50
  4. Step 4: Simplify right side
    165,975,903x = 61,314,974,285,001,840
  5. Step 5: Solve for x
    x = 61,314,974,285,001,840/165,975,903
  6. Step 6: Final answer
    x = 369,420,941.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.