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Finding the Third Proportional to 38,310,598.88 and 85,124,253.38

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Solution

The third proportional to 38,310,598.88 and 85,124,253.38 is: 189,141,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,310,598.88 : 85,124,253.38 = 85,124,253.38 : x
  2. Step 2: Convert to fraction form
    38,310,598.88/85,124,253.38 = 85,124,253.38/x
  3. Step 3: Cross multiply
    38,310,598.88x = 85,124,253.38 × 85,124,253.38
  4. Step 4: Simplify right side
    38,310,598.88x = 7,246,138,512,651,199
  5. Step 5: Solve for x
    x = 7,246,138,512,651,199/38,310,598.88
  6. Step 6: Final answer
    x = 189,141,875.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.