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Finding the Third Proportional to 189,281,552,516 and 294,023,943,284

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Solution

The third proportional to 189,281,552,516 and 294,023,943,284 is: 456,727,441,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,281,552,516 : 294,023,943,284 = 294,023,943,284 : x
  2. Step 2: Convert to fraction form
    189,281,552,516/294,023,943,284 = 294,023,943,284/x
  3. Step 3: Cross multiply
    189,281,552,516x = 294,023,943,284 × 294,023,943,284
  4. Step 4: Simplify right side
    189,281,552,516x = 86,450,079,224,272,844,226,560
  5. Step 5: Solve for x
    x = 86,450,079,224,272,844,226,560/189,281,552,516
  6. Step 6: Final answer
    x = 456,727,441,608.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.