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Finding the Third Proportional to 69,821,314.88 and 148,153,536

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Solution

The third proportional to 69,821,314.88 and 148,153,536 is: 314,366,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,821,314.88 : 148,153,536 = 148,153,536 : x
  2. Step 2: Convert to fraction form
    69,821,314.88/148,153,536 = 148,153,536/x
  3. Step 3: Cross multiply
    69,821,314.88x = 148,153,536 × 148,153,536
  4. Step 4: Simplify right side
    69,821,314.88x = 21,949,470,229,303,296
  5. Step 5: Solve for x
    x = 21,949,470,229,303,296/69,821,314.88
  6. Step 6: Final answer
    x = 314,366,325.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.