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Finding the Third Proportional to 160,164,876 and 349,688,034

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Solution

The third proportional to 160,164,876 and 349,688,034 is: 763,474,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,164,876 : 349,688,034 = 349,688,034 : x
  2. Step 2: Convert to fraction form
    160,164,876/349,688,034 = 349,688,034/x
  3. Step 3: Cross multiply
    160,164,876x = 349,688,034 × 349,688,034
  4. Step 4: Simplify right side
    160,164,876x = 122,281,721,122,785,152
  5. Step 5: Solve for x
    x = 122,281,721,122,785,152/160,164,876
  6. Step 6: Final answer
    x = 763,474,016.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.