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Finding the Third Proportional to 102,203,484.75 and 221,656,648.50

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Solution

The third proportional to 102,203,484.75 and 221,656,648.50 is: 480,724,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,203,484.75 : 221,656,648.50 = 221,656,648.50 : x
  2. Step 2: Convert to fraction form
    102,203,484.75/221,656,648.50 = 221,656,648.50/x
  3. Step 3: Cross multiply
    102,203,484.75x = 221,656,648.50 × 221,656,648.50
  4. Step 4: Simplify right side
    102,203,484.75x = 49,131,669,824,252,552
  5. Step 5: Solve for x
    x = 49,131,669,824,252,552/102,203,484.75
  6. Step 6: Final answer
    x = 480,724,017.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.