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Finding the Third Proportional to 111,977,164.50 and 160,127,538.75

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Solution

The third proportional to 111,977,164.50 and 160,127,538.75 is: 228,982,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,977,164.50 : 160,127,538.75 = 160,127,538.75 : x
  2. Step 2: Convert to fraction form
    111,977,164.50/160,127,538.75 = 160,127,538.75/x
  3. Step 3: Cross multiply
    111,977,164.50x = 160,127,538.75 × 160,127,538.75
  4. Step 4: Simplify right side
    111,977,164.50x = 25,640,828,666,132,752
  5. Step 5: Solve for x
    x = 25,640,828,666,132,752/111,977,164.50
  6. Step 6: Final answer
    x = 228,982,657.14

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