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Finding the Third Proportional to 107,509,473 and 166,016,857.50

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Solution

The third proportional to 107,509,473 and 166,016,857.50 is: 256,364,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,509,473 : 166,016,857.50 = 166,016,857.50 : x
  2. Step 2: Convert to fraction form
    107,509,473/166,016,857.50 = 166,016,857.50/x
  3. Step 3: Cross multiply
    107,509,473x = 166,016,857.50 × 166,016,857.50
  4. Step 4: Simplify right side
    107,509,473x = 27,561,596,974,175,308
  5. Step 5: Solve for x
    x = 27,561,596,974,175,308/107,509,473
  6. Step 6: Final answer
    x = 256,364,357.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.