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Finding the Third Proportional to 77,606,125 and 121,741,275

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Solution

The third proportional to 77,606,125 and 121,741,275 is: 190,976,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,606,125 : 121,741,275 = 121,741,275 : x
  2. Step 2: Convert to fraction form
    77,606,125/121,741,275 = 121,741,275/x
  3. Step 3: Cross multiply
    77,606,125x = 121,741,275 × 121,741,275
  4. Step 4: Simplify right side
    77,606,125x = 14,820,938,038,625,624
  5. Step 5: Solve for x
    x = 14,820,938,038,625,624/77,606,125
  6. Step 6: Final answer
    x = 190,976,395.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.