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Finding the Third Proportional to 141,875,529.75 and 213,828,082.88

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Solution

The third proportional to 141,875,529.75 and 213,828,082.88 is: 322,271,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,875,529.75 : 213,828,082.88 = 213,828,082.88 : x
  2. Step 2: Convert to fraction form
    141,875,529.75/213,828,082.88 = 213,828,082.88/x
  3. Step 3: Cross multiply
    141,875,529.75x = 213,828,082.88 × 213,828,082.88
  4. Step 4: Simplify right side
    141,875,529.75x = 45,722,449,025,997,872
  5. Step 5: Solve for x
    x = 45,722,449,025,997,872/141,875,529.75
  6. Step 6: Final answer
    x = 322,271,565.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.