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Finding the Third Proportional to 83,602,327.50 and 174,827,511.84

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Solution

The third proportional to 83,602,327.50 and 174,827,511.84 is: 365,595,789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602,327.50 : 174,827,511.84 = 174,827,511.84 : x
  2. Step 2: Convert to fraction form
    83,602,327.50/174,827,511.84 = 174,827,511.84/x
  3. Step 3: Cross multiply
    83,602,327.50x = 174,827,511.84 × 174,827,511.84
  4. Step 4: Simplify right side
    83,602,327.50x = 30,564,658,897,476,548
  5. Step 5: Solve for x
    x = 30,564,658,897,476,548/83,602,327.50
  6. Step 6: Final answer
    x = 365,595,789.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.