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Finding the Third Proportional to 132,196,968 and 275,123,428.88

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Solution

The third proportional to 132,196,968 and 275,123,428.88 is: 572,576,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,196,968 : 275,123,428.88 = 275,123,428.88 : x
  2. Step 2: Convert to fraction form
    132,196,968/275,123,428.88 = 275,123,428.88/x
  3. Step 3: Cross multiply
    132,196,968x = 275,123,428.88 × 275,123,428.88
  4. Step 4: Simplify right side
    132,196,968x = 75,692,901,115,937,184
  5. Step 5: Solve for x
    x = 75,692,901,115,937,184/132,196,968
  6. Step 6: Final answer
    x = 572,576,680.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.