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Finding the Third Proportional to 134,702,046 and 290,959,164

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Solution

The third proportional to 134,702,046 and 290,959,164 is: 628,477,722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,702,046 : 290,959,164 = 290,959,164 : x
  2. Step 2: Convert to fraction form
    134,702,046/290,959,164 = 290,959,164/x
  3. Step 3: Cross multiply
    134,702,046x = 290,959,164 × 290,959,164
  4. Step 4: Simplify right side
    134,702,046x = 84,657,235,115,578,896
  5. Step 5: Solve for x
    x = 84,657,235,115,578,896/134,702,046
  6. Step 6: Final answer
    x = 628,477,722.72

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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.