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Finding the Third Proportional to 129,343,090,851 and 283,069,309,187

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Solution

The third proportional to 129,343,090,851 and 283,069,309,187 is: 619,501,461,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,343,090,851 : 283,069,309,187 = 283,069,309,187 : x
  2. Step 2: Convert to fraction form
    129,343,090,851/283,069,309,187 = 283,069,309,187/x
  3. Step 3: Cross multiply
    129,343,090,851x = 283,069,309,187 × 283,069,309,187
  4. Step 4: Simplify right side
    129,343,090,851x = 80,128,233,803,605,398,781,952
  5. Step 5: Solve for x
    x = 80,128,233,803,605,398,781,952/129,343,090,851
  6. Step 6: Final answer
    x = 619,501,461,395.50

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