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Finding the Third Proportional to 160,015,495 and 349,105,070

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Solution

The third proportional to 160,015,495 and 349,105,070 is: 761,640,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,015,495 : 349,105,070 = 349,105,070 : x
  2. Step 2: Convert to fraction form
    160,015,495/349,105,070 = 349,105,070/x
  3. Step 3: Cross multiply
    160,015,495x = 349,105,070 × 349,105,070
  4. Step 4: Simplify right side
    160,015,495x = 121,874,349,899,704,896
  5. Step 5: Solve for x
    x = 121,874,349,899,704,896/160,015,495
  6. Step 6: Final answer
    x = 761,640,926.71

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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.