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Finding the Third Proportional to 182,964,434.95 and 278,734,512.60

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Solution

The third proportional to 182,964,434.95 and 278,734,512.60 is: 424,634,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,964,434.95 : 278,734,512.60 = 278,734,512.60 : x
  2. Step 2: Convert to fraction form
    182,964,434.95/278,734,512.60 = 278,734,512.60/x
  3. Step 3: Cross multiply
    182,964,434.95x = 278,734,512.60 × 278,734,512.60
  4. Step 4: Simplify right side
    182,964,434.95x = 77,692,928,516,316,288
  5. Step 5: Solve for x
    x = 77,692,928,516,316,288/182,964,434.95
  6. Step 6: Final answer
    x = 424,634,047.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.