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Finding the Third Proportional to 119,852,810,469 and 260,804,548,990

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Solution

The third proportional to 119,852,810,469 and 260,804,548,990 is: 567,521,216,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,852,810,469 : 260,804,548,990 = 260,804,548,990 : x
  2. Step 2: Convert to fraction form
    119,852,810,469/260,804,548,990 = 260,804,548,990/x
  3. Step 3: Cross multiply
    119,852,810,469x = 260,804,548,990 × 260,804,548,990
  4. Step 4: Simplify right side
    119,852,810,469x = 68,019,012,773,877,311,864,832
  5. Step 5: Solve for x
    x = 68,019,012,773,877,311,864,832/119,852,810,469
  6. Step 6: Final answer
    x = 567,521,216,296.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.