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Finding the Third Proportional to 166,377,248 and 359,060,462

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Solution

The third proportional to 166,377,248 and 359,060,462 is: 774,892,101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,377,248 : 359,060,462 = 359,060,462 : x
  2. Step 2: Convert to fraction form
    166,377,248/359,060,462 = 359,060,462/x
  3. Step 3: Cross multiply
    166,377,248x = 359,060,462 × 359,060,462
  4. Step 4: Simplify right side
    166,377,248x = 128,924,415,371,653,440
  5. Step 5: Solve for x
    x = 128,924,415,371,653,440/166,377,248
  6. Step 6: Final answer
    x = 774,892,101.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.