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Finding the Third Proportional to 129,343,090,855 and 283,069,309,195

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Solution

The third proportional to 129,343,090,855 and 283,069,309,195 is: 619,501,461,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,343,090,855 : 283,069,309,195 = 283,069,309,195 : x
  2. Step 2: Convert to fraction form
    129,343,090,855/283,069,309,195 = 283,069,309,195/x
  3. Step 3: Cross multiply
    129,343,090,855x = 283,069,309,195 × 283,069,309,195
  4. Step 4: Simplify right side
    129,343,090,855x = 80,128,233,808,134,508,904,448
  5. Step 5: Solve for x
    x = 80,128,233,808,134,508,904,448/129,343,090,855
  6. Step 6: Final answer
    x = 619,501,461,411.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.