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Finding the Third Proportional to 88,036.88 and 191,792.81

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Solution

The third proportional to 88,036.88 and 191,792.81 is: 417,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,036.88 : 191,792.81 = 191,792.81 : x
  2. Step 2: Convert to fraction form
    88,036.88/191,792.81 = 191,792.81/x
  3. Step 3: Cross multiply
    88,036.88x = 191,792.81 × 191,792.81
  4. Step 4: Simplify right side
    88,036.88x = 36,784,482,926.66
  5. Step 5: Solve for x
    x = 36,784,482,926.66/88,036.88
  6. Step 6: Final answer
    x = 417,830.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.