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Finding the Third Proportional to 129,343,090,853 and 283,069,309,191

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Solution

The third proportional to 129,343,090,853 and 283,069,309,191 is: 619,501,461,403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,343,090,853 : 283,069,309,191 = 283,069,309,191 : x
  2. Step 2: Convert to fraction form
    129,343,090,853/283,069,309,191 = 283,069,309,191/x
  3. Step 3: Cross multiply
    129,343,090,853x = 283,069,309,191 × 283,069,309,191
  4. Step 4: Simplify right side
    129,343,090,853x = 80,128,233,805,869,953,843,200
  5. Step 5: Solve for x
    x = 80,128,233,805,869,953,843,200/129,343,090,853
  6. Step 6: Final answer
    x = 619,501,461,403.43

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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.