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Finding the Third Proportional to 193,822,970.25 and 425,305,670.25

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Solution

The third proportional to 193,822,970.25 and 425,305,670.25 is: 933,248,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,822,970.25 : 425,305,670.25 = 425,305,670.25 : x
  2. Step 2: Convert to fraction form
    193,822,970.25/425,305,670.25 = 425,305,670.25/x
  3. Step 3: Cross multiply
    193,822,970.25x = 425,305,670.25 × 425,305,670.25
  4. Step 4: Simplify right side
    193,822,970.25x = 180,884,913,146,801,728
  5. Step 5: Solve for x
    x = 180,884,913,146,801,728/193,822,970.25
  6. Step 6: Final answer
    x = 933,248,071.23

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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.