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Finding the Third Proportional to 119,347,254 and 260,881,128

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Solution

The third proportional to 119,347,254 and 260,881,128 is: 570,259,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,347,254 : 260,881,128 = 260,881,128 : x
  2. Step 2: Convert to fraction form
    119,347,254/260,881,128 = 260,881,128/x
  3. Step 3: Cross multiply
    119,347,254x = 260,881,128 × 260,881,128
  4. Step 4: Simplify right side
    119,347,254x = 68,058,962,946,552,384
  5. Step 5: Solve for x
    x = 68,058,962,946,552,384/119,347,254
  6. Step 6: Final answer
    x = 570,259,982.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.