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Finding the Third Proportional to 101,623,998 and 216,357,036

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Solution

The third proportional to 101,623,998 and 216,357,036 is: 460,623,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,623,998 : 216,357,036 = 216,357,036 : x
  2. Step 2: Convert to fraction form
    101,623,998/216,357,036 = 216,357,036/x
  3. Step 3: Cross multiply
    101,623,998x = 216,357,036 × 216,357,036
  4. Step 4: Simplify right side
    101,623,998x = 46,810,367,026,705,296
  5. Step 5: Solve for x
    x = 46,810,367,026,705,296/101,623,998
  6. Step 6: Final answer
    x = 460,623,159.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.