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Finding the Third Proportional to 144,756,504 and 317,146,239

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Solution

The third proportional to 144,756,504 and 317,146,239 is: 694,833,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,756,504 : 317,146,239 = 317,146,239 : x
  2. Step 2: Convert to fraction form
    144,756,504/317,146,239 = 317,146,239/x
  3. Step 3: Cross multiply
    144,756,504x = 317,146,239 × 317,146,239
  4. Step 4: Simplify right side
    144,756,504x = 100,581,736,911,845,120
  5. Step 5: Solve for x
    x = 100,581,736,911,845,120/144,756,504
  6. Step 6: Final answer
    x = 694,833,973.83

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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.