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Finding the Third Proportional to 135,877,229,649 and 202,637,532,720

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Solution

The third proportional to 135,877,229,649 and 202,637,532,720 is: 302,199,049,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,877,229,649 : 202,637,532,720 = 202,637,532,720 : x
  2. Step 2: Convert to fraction form
    135,877,229,649/202,637,532,720 = 202,637,532,720/x
  3. Step 3: Cross multiply
    135,877,229,649x = 202,637,532,720 × 202,637,532,720
  4. Step 4: Simplify right side
    135,877,229,649x = 41,061,969,666,849,074,315,264
  5. Step 5: Solve for x
    x = 41,061,969,666,849,074,315,264/135,877,229,649
  6. Step 6: Final answer
    x = 302,199,049,634.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.