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Finding the Third Proportional to 230,877,381.38 and 357,796,373.44

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Solution

The third proportional to 230,877,381.38 and 357,796,373.44 is: 554,485,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,877,381.38 : 357,796,373.44 = 357,796,373.44 : x
  2. Step 2: Convert to fraction form
    230,877,381.38/357,796,373.44 = 357,796,373.44/x
  3. Step 3: Cross multiply
    230,877,381.38x = 357,796,373.44 × 357,796,373.44
  4. Step 4: Simplify right side
    230,877,381.38x = 128,018,244,845,026,960
  5. Step 5: Solve for x
    x = 128,018,244,845,026,960/230,877,381.38
  6. Step 6: Final answer
    x = 554,485,866.40

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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.