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Finding the Third Proportional to 47,948,294 and 103,569,223

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Solution

The third proportional to 47,948,294 and 103,569,223 is: 223,711,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,948,294 : 103,569,223 = 103,569,223 : x
  2. Step 2: Convert to fraction form
    47,948,294/103,569,223 = 103,569,223/x
  3. Step 3: Cross multiply
    47,948,294x = 103,569,223 × 103,569,223
  4. Step 4: Simplify right side
    47,948,294x = 10,726,583,952,823,728
  5. Step 5: Solve for x
    x = 10,726,583,952,823,728/47,948,294
  6. Step 6: Final answer
    x = 223,711,482.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.