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Finding the Third Proportional to 144,658,887 and 317,411,487

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Solution

The third proportional to 144,658,887 and 317,411,487 is: 696,466,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,658,887 : 317,411,487 = 317,411,487 : x
  2. Step 2: Convert to fraction form
    144,658,887/317,411,487 = 317,411,487/x
  3. Step 3: Cross multiply
    144,658,887x = 317,411,487 × 317,411,487
  4. Step 4: Simplify right side
    144,658,887x = 100,750,052,079,551,168
  5. Step 5: Solve for x
    x = 100,750,052,079,551,168/144,658,887
  6. Step 6: Final answer
    x = 696,466,384.95

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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.