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Finding the Third Proportional to 78,564,901 and 185,199,320

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Solution

The third proportional to 78,564,901 and 185,199,320 is: 436,566,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564,901 : 185,199,320 = 185,199,320 : x
  2. Step 2: Convert to fraction form
    78,564,901/185,199,320 = 185,199,320/x
  3. Step 3: Cross multiply
    78,564,901x = 185,199,320 × 185,199,320
  4. Step 4: Simplify right side
    78,564,901x = 34,298,788,128,462,400
  5. Step 5: Solve for x
    x = 34,298,788,128,462,400/78,564,901
  6. Step 6: Final answer
    x = 436,566,299.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.