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Finding the Third Proportional to 197,457,996 and 425,259,888

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Solution

The third proportional to 197,457,996 and 425,259,888 is: 915,870,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,457,996 : 425,259,888 = 425,259,888 : x
  2. Step 2: Convert to fraction form
    197,457,996/425,259,888 = 425,259,888/x
  3. Step 3: Cross multiply
    197,457,996x = 425,259,888 × 425,259,888
  4. Step 4: Simplify right side
    197,457,996x = 180,845,972,341,772,544
  5. Step 5: Solve for x
    x = 180,845,972,341,772,544/197,457,996
  6. Step 6: Final answer
    x = 915,870,595.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.