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Finding the Third Proportional to 134,264,900 and 207,328,492

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Solution

The third proportional to 134,264,900 and 207,328,492 is: 320,151,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,264,900 : 207,328,492 = 207,328,492 : x
  2. Step 2: Convert to fraction form
    134,264,900/207,328,492 = 207,328,492/x
  3. Step 3: Cross multiply
    134,264,900x = 207,328,492 × 207,328,492
  4. Step 4: Simplify right side
    134,264,900x = 42,985,103,594,994,064
  5. Step 5: Solve for x
    x = 42,985,103,594,994,064/134,264,900
  6. Step 6: Final answer
    x = 320,151,458.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.