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Finding the Third Proportional to 146,354,284 and 318,216,764

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Solution

The third proportional to 146,354,284 and 318,216,764 is: 691,895,762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,354,284 : 318,216,764 = 318,216,764 : x
  2. Step 2: Convert to fraction form
    146,354,284/318,216,764 = 318,216,764/x
  3. Step 3: Cross multiply
    146,354,284x = 318,216,764 × 318,216,764
  4. Step 4: Simplify right side
    146,354,284x = 101,261,908,890,631,696
  5. Step 5: Solve for x
    x = 101,261,908,890,631,696/146,354,284
  6. Step 6: Final answer
    x = 691,895,762.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.