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Finding the Third Proportional to 144,374,730 and 300,646,668

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Solution

The third proportional to 144,374,730 and 300,646,668 is: 626,068,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,374,730 : 300,646,668 = 300,646,668 : x
  2. Step 2: Convert to fraction form
    144,374,730/300,646,668 = 300,646,668/x
  3. Step 3: Cross multiply
    144,374,730x = 300,646,668 × 300,646,668
  4. Step 4: Simplify right side
    144,374,730x = 90,388,418,979,502,224
  5. Step 5: Solve for x
    x = 90,388,418,979,502,224/144,374,730
  6. Step 6: Final answer
    x = 626,068,142.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.