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Finding the Third Proportional to 543,748,119.75 and 805,427,003.25

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Solution

The third proportional to 543,748,119.75 and 805,427,003.25 is: 1,193,038,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,748,119.75 : 805,427,003.25 = 805,427,003.25 : x
  2. Step 2: Convert to fraction form
    543,748,119.75/805,427,003.25 = 805,427,003.25/x
  3. Step 3: Cross multiply
    543,748,119.75x = 805,427,003.25 × 805,427,003.25
  4. Step 4: Simplify right side
    543,748,119.75x = 648,712,657,564,275,456
  5. Step 5: Solve for x
    x = 648,712,657,564,275,456/543,748,119.75
  6. Step 6: Final answer
    x = 1,193,038,897.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.