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Finding the Third Proportional to 166,109,820 and 363,497,142

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Solution

The third proportional to 166,109,820 and 363,497,142 is: 795,438,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,109,820 : 363,497,142 = 363,497,142 : x
  2. Step 2: Convert to fraction form
    166,109,820/363,497,142 = 363,497,142/x
  3. Step 3: Cross multiply
    166,109,820x = 363,497,142 × 363,497,142
  4. Step 4: Simplify right side
    166,109,820x = 132,130,172,242,168,160
  5. Step 5: Solve for x
    x = 132,130,172,242,168,160/166,109,820
  6. Step 6: Final answer
    x = 795,438,657.64

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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.