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Finding the Third Proportional to 145,429,809 and 311,015,010

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Solution

The third proportional to 145,429,809 and 311,015,010 is: 665,134,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,809 : 311,015,010 = 311,015,010 : x
  2. Step 2: Convert to fraction form
    145,429,809/311,015,010 = 311,015,010/x
  3. Step 3: Cross multiply
    145,429,809x = 311,015,010 × 311,015,010
  4. Step 4: Simplify right side
    145,429,809x = 96,730,336,445,300,096
  5. Step 5: Solve for x
    x = 96,730,336,445,300,096/145,429,809
  6. Step 6: Final answer
    x = 665,134,177.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.