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Finding the Third Proportional to 230,877,392.06 and 357,796,387.13

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Solution

The third proportional to 230,877,392.06 and 357,796,387.13 is: 554,485,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,877,392.06 : 357,796,387.13 = 357,796,387.13 : x
  2. Step 2: Convert to fraction form
    230,877,392.06/357,796,387.13 = 357,796,387.13/x
  3. Step 3: Cross multiply
    230,877,392.06x = 357,796,387.13 × 357,796,387.13
  4. Step 4: Simplify right side
    230,877,392.06x = 128,018,254,639,702,864
  5. Step 5: Solve for x
    x = 128,018,254,639,702,864/230,877,392.06
  6. Step 6: Final answer
    x = 554,485,883.16

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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.