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Finding the Third Proportional to 101,110,998 and 217,841,430

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Solution

The third proportional to 101,110,998 and 217,841,430 is: 469,334,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,110,998 : 217,841,430 = 217,841,430 : x
  2. Step 2: Convert to fraction form
    101,110,998/217,841,430 = 217,841,430/x
  3. Step 3: Cross multiply
    101,110,998x = 217,841,430 × 217,841,430
  4. Step 4: Simplify right side
    101,110,998x = 47,454,888,624,444,896
  5. Step 5: Solve for x
    x = 47,454,888,624,444,896/101,110,998
  6. Step 6: Final answer
    x = 469,334,588.35

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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.