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Finding the Third Proportional to 164,664,535.50 and 219,522,889.13

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Solution

The third proportional to 164,664,535.50 and 219,522,889.13 is: 292,657,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,664,535.50 : 219,522,889.13 = 219,522,889.13 : x
  2. Step 2: Convert to fraction form
    164,664,535.50/219,522,889.13 = 219,522,889.13/x
  3. Step 3: Cross multiply
    164,664,535.50x = 219,522,889.13 × 219,522,889.13
  4. Step 4: Simplify right side
    164,664,535.50x = 48,190,298,849,787,040
  5. Step 5: Solve for x
    x = 48,190,298,849,787,040/164,664,535.50
  6. Step 6: Final answer
    x = 292,657,424.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.