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Finding the Third Proportional to 144,346,141 and 208,555,291

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Solution

The third proportional to 144,346,141 and 208,555,291 is: 301,326,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,346,141 : 208,555,291 = 208,555,291 : x
  2. Step 2: Convert to fraction form
    144,346,141/208,555,291 = 208,555,291/x
  3. Step 3: Cross multiply
    144,346,141x = 208,555,291 × 208,555,291
  4. Step 4: Simplify right side
    144,346,141x = 43,495,309,404,094,680
  5. Step 5: Solve for x
    x = 43,495,309,404,094,680/144,346,141
  6. Step 6: Final answer
    x = 301,326,444.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.