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Finding the Third Proportional to 166,681,769.31 and 358,964,509.36

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Solution

The third proportional to 166,681,769.31 and 358,964,509.36 is: 773,063,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,681,769.31 : 358,964,509.36 = 358,964,509.36 : x
  2. Step 2: Convert to fraction form
    166,681,769.31/358,964,509.36 = 358,964,509.36/x
  3. Step 3: Cross multiply
    166,681,769.31x = 358,964,509.36 × 358,964,509.36
  4. Step 4: Simplify right side
    166,681,769.31x = 128,855,518,979,620,416
  5. Step 5: Solve for x
    x = 128,855,518,979,620,416/166,681,769.31
  6. Step 6: Final answer
    x = 773,063,062.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.