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Finding the Third Proportional to 134,702,041 and 290,959,154

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Solution

The third proportional to 134,702,041 and 290,959,154 is: 628,477,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,702,041 : 290,959,154 = 290,959,154 : x
  2. Step 2: Convert to fraction form
    134,702,041/290,959,154 = 290,959,154/x
  3. Step 3: Cross multiply
    134,702,041x = 290,959,154 × 290,959,154
  4. Step 4: Simplify right side
    134,702,041x = 84,657,229,296,395,712
  5. Step 5: Solve for x
    x = 84,657,229,296,395,712/134,702,041
  6. Step 6: Final answer
    x = 628,477,702.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.