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Finding the Third Proportional to 111,977,185 and 160,127,566

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Solution

The third proportional to 111,977,185 and 160,127,566 is: 228,982,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,977,185 : 160,127,566 = 160,127,566 : x
  2. Step 2: Convert to fraction form
    111,977,185/160,127,566 = 160,127,566/x
  3. Step 3: Cross multiply
    111,977,185x = 160,127,566 × 160,127,566
  4. Step 4: Simplify right side
    111,977,185x = 25,640,837,393,084,356
  5. Step 5: Solve for x
    x = 25,640,837,393,084,356/111,977,185
  6. Step 6: Final answer
    x = 228,982,693.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.