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Finding the Third Proportional to 69,491,205 and 148,216,045.50

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Solution

The third proportional to 69,491,205 and 148,216,045.50 is: 316,126,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,491,205 : 148,216,045.50 = 148,216,045.50 : x
  2. Step 2: Convert to fraction form
    69,491,205/148,216,045.50 = 148,216,045.50/x
  3. Step 3: Cross multiply
    69,491,205x = 148,216,045.50 × 148,216,045.50
  4. Step 4: Simplify right side
    69,491,205x = 21,967,996,143,658,072
  5. Step 5: Solve for x
    x = 21,967,996,143,658,072/69,491,205
  6. Step 6: Final answer
    x = 316,126,280.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.