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Finding the Third Proportional to 160,164,882 and 349,688,046

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Solution

The third proportional to 160,164,882 and 349,688,046 is: 763,474,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,164,882 : 349,688,046 = 349,688,046 : x
  2. Step 2: Convert to fraction form
    160,164,882/349,688,046 = 349,688,046/x
  3. Step 3: Cross multiply
    160,164,882x = 349,688,046 × 349,688,046
  4. Step 4: Simplify right side
    160,164,882x = 122,281,729,515,298,112
  5. Step 5: Solve for x
    x = 122,281,729,515,298,112/160,164,882
  6. Step 6: Final answer
    x = 763,474,039.93

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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.