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Finding the Third Proportional to 132,170,595.75 and 286,307,784

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Solution

The third proportional to 132,170,595.75 and 286,307,784 is: 620,199,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,170,595.75 : 286,307,784 = 286,307,784 : x
  2. Step 2: Convert to fraction form
    132,170,595.75/286,307,784 = 286,307,784/x
  3. Step 3: Cross multiply
    132,170,595.75x = 286,307,784 × 286,307,784
  4. Step 4: Simplify right side
    132,170,595.75x = 81,972,147,178,990,656
  5. Step 5: Solve for x
    x = 81,972,147,178,990,656/132,170,595.75
  6. Step 6: Final answer
    x = 620,199,574.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.