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Finding the Third Proportional to 193,822,983 and 425,305,695

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Solution

The third proportional to 193,822,983 and 425,305,695 is: 933,248,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,822,983 : 425,305,695 = 425,305,695 : x
  2. Step 2: Convert to fraction form
    193,822,983/425,305,695 = 425,305,695/x
  3. Step 3: Cross multiply
    193,822,983x = 425,305,695 × 425,305,695
  4. Step 4: Simplify right side
    193,822,983x = 180,884,934,199,433,024
  5. Step 5: Solve for x
    x = 180,884,934,199,433,024/193,822,983
  6. Step 6: Final answer
    x = 933,248,118.46

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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.