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Finding the Third Proportional to 144,376,209 and 311,763,492

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Solution

The third proportional to 144,376,209 and 311,763,492 is: 673,216,699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,376,209 : 311,763,492 = 311,763,492 : x
  2. Step 2: Convert to fraction form
    144,376,209/311,763,492 = 311,763,492/x
  3. Step 3: Cross multiply
    144,376,209x = 311,763,492 × 311,763,492
  4. Step 4: Simplify right side
    144,376,209x = 97,196,474,944,034,064
  5. Step 5: Solve for x
    x = 97,196,474,944,034,064/144,376,209
  6. Step 6: Final answer
    x = 673,216,699.74

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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.