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Finding the Third Proportional to 129,343,090,854 and 283,069,309,192.50

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Solution

The third proportional to 129,343,090,854 and 283,069,309,192.50 is: 619,501,461,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,343,090,854 : 283,069,309,192.50 = 283,069,309,192.50 : x
  2. Step 2: Convert to fraction form
    129,343,090,854/283,069,309,192.50 = 283,069,309,192.50/x
  3. Step 3: Cross multiply
    129,343,090,854x = 283,069,309,192.50 × 283,069,309,192.50
  4. Step 4: Simplify right side
    129,343,090,854x = 80,128,233,806,719,166,185,472
  5. Step 5: Solve for x
    x = 80,128,233,806,719,166,185,472/129,343,090,854
  6. Step 6: Final answer
    x = 619,501,461,405.21

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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.