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Finding the Third Proportional to 77,234,775.75 and 116,570,404.13

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Solution

The third proportional to 77,234,775.75 and 116,570,404.13 is: 175,939,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,234,775.75 : 116,570,404.13 = 116,570,404.13 : x
  2. Step 2: Convert to fraction form
    77,234,775.75/116,570,404.13 = 116,570,404.13/x
  3. Step 3: Cross multiply
    77,234,775.75x = 116,570,404.13 × 116,570,404.13
  4. Step 4: Simplify right side
    77,234,775.75x = 13,588,659,117,865,818
  5. Step 5: Solve for x
    x = 13,588,659,117,865,818/77,234,775.75
  6. Step 6: Final answer
    x = 175,939,646.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.