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Finding the Third Proportional to 195,029,218 and 406,201,008

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Solution

The third proportional to 195,029,218 and 406,201,008 is: 846,023,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,029,218 : 406,201,008 = 406,201,008 : x
  2. Step 2: Convert to fraction form
    195,029,218/406,201,008 = 406,201,008/x
  3. Step 3: Cross multiply
    195,029,218x = 406,201,008 × 406,201,008
  4. Step 4: Simplify right side
    195,029,218x = 164,999,258,900,216,064
  5. Step 5: Solve for x
    x = 164,999,258,900,216,064/195,029,218
  6. Step 6: Final answer
    x = 846,023,280.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.