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Finding the Third Proportional to 145,137,550 and 313,363,340

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Solution

The third proportional to 145,137,550 and 313,363,340 is: 676,575,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,137,550 : 313,363,340 = 313,363,340 : x
  2. Step 2: Convert to fraction form
    145,137,550/313,363,340 = 313,363,340/x
  3. Step 3: Cross multiply
    145,137,550x = 313,363,340 × 313,363,340
  4. Step 4: Simplify right side
    145,137,550x = 98,196,582,855,955,600
  5. Step 5: Solve for x
    x = 98,196,582,855,955,600/145,137,550
  6. Step 6: Final answer
    x = 676,575,998.81

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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.