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Finding the Third Proportional to 230,877,385 and 357,796,378

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Solution

The third proportional to 230,877,385 and 357,796,378 is: 554,485,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,877,385 : 357,796,378 = 357,796,378 : x
  2. Step 2: Convert to fraction form
    230,877,385/357,796,378 = 357,796,378/x
  3. Step 3: Cross multiply
    230,877,385x = 357,796,378 × 357,796,378
  4. Step 4: Simplify right side
    230,877,385x = 128,018,248,109,918,880
  5. Step 5: Solve for x
    x = 128,018,248,109,918,880/230,877,385
  6. Step 6: Final answer
    x = 554,485,871.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.