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Finding the Third Proportional to 90,842,442 and 199,270,717.50

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Solution

The third proportional to 90,842,442 and 199,270,717.50 is: 437,117,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,842,442 : 199,270,717.50 = 199,270,717.50 : x
  2. Step 2: Convert to fraction form
    90,842,442/199,270,717.50 = 199,270,717.50/x
  3. Step 3: Cross multiply
    90,842,442x = 199,270,717.50 × 199,270,717.50
  4. Step 4: Simplify right side
    90,842,442x = 39,708,818,852,964,808
  5. Step 5: Solve for x
    x = 39,708,818,852,964,808/90,842,442
  6. Step 6: Final answer
    x = 437,117,474.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.