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Finding the Third Proportional to 73,970,999 and 160,817,043

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Solution

The third proportional to 73,970,999 and 160,817,043 is: 349,625,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,970,999 : 160,817,043 = 160,817,043 : x
  2. Step 2: Convert to fraction form
    73,970,999/160,817,043 = 160,817,043/x
  3. Step 3: Cross multiply
    73,970,999x = 160,817,043 × 160,817,043
  4. Step 4: Simplify right side
    73,970,999x = 25,862,121,319,263,848
  5. Step 5: Solve for x
    x = 25,862,121,319,263,848/73,970,999
  6. Step 6: Final answer
    x = 349,625,145.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.