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Finding the Third Proportional to 57,506,085 and 123,780,946.50

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Solution

The third proportional to 57,506,085 and 123,780,946.50 is: 266,436,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,506,085 : 123,780,946.50 = 123,780,946.50 : x
  2. Step 2: Convert to fraction form
    57,506,085/123,780,946.50 = 123,780,946.50/x
  3. Step 3: Cross multiply
    57,506,085x = 123,780,946.50 × 123,780,946.50
  4. Step 4: Simplify right side
    57,506,085x = 15,321,722,716,435,862
  5. Step 5: Solve for x
    x = 15,321,722,716,435,862/57,506,085
  6. Step 6: Final answer
    x = 266,436,546.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.