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Finding the Third Proportional to 78,564,996.75 and 185,199,541.50

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Solution

The third proportional to 78,564,996.75 and 185,199,541.50 is: 436,566,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564,996.75 : 185,199,541.50 = 185,199,541.50 : x
  2. Step 2: Convert to fraction form
    78,564,996.75/185,199,541.50 = 185,199,541.50/x
  3. Step 3: Cross multiply
    78,564,996.75x = 185,199,541.50 × 185,199,541.50
  4. Step 4: Simplify right side
    78,564,996.75x = 34,298,870,171,810,224
  5. Step 5: Solve for x
    x = 34,298,870,171,810,224/78,564,996.75
  6. Step 6: Final answer
    x = 436,566,812.07

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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.