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Finding the Third Proportional to 95,701,932 and 209,931,966

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Solution

The third proportional to 95,701,932 and 209,931,966 is: 460,507,216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,701,932 : 209,931,966 = 209,931,966 : x
  2. Step 2: Convert to fraction form
    95,701,932/209,931,966 = 209,931,966/x
  3. Step 3: Cross multiply
    95,701,932x = 209,931,966 × 209,931,966
  4. Step 4: Simplify right side
    95,701,932x = 44,071,430,348,625,152
  5. Step 5: Solve for x
    x = 44,071,430,348,625,152/95,701,932
  6. Step 6: Final answer
    x = 460,507,216.81

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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.