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Finding the Third Proportional to 119,852,810,466 and 260,804,548,983.75

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Solution

The third proportional to 119,852,810,466 and 260,804,548,983.75 is: 567,521,216,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,852,810,466 : 260,804,548,983.75 = 260,804,548,983.75 : x
  2. Step 2: Convert to fraction form
    119,852,810,466/260,804,548,983.75 = 260,804,548,983.75/x
  3. Step 3: Cross multiply
    119,852,810,466x = 260,804,548,983.75 × 260,804,548,983.75
  4. Step 4: Simplify right side
    119,852,810,466x = 68,019,012,770,617,255,526,400
  5. Step 5: Solve for x
    x = 68,019,012,770,617,255,526,400/119,852,810,466
  6. Step 6: Final answer
    x = 567,521,216,283.14

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