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Finding the Third Proportional to 365,141,597.50 and 861,105,263

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Solution

The third proportional to 365,141,597.50 and 861,105,263 is: 2,030,725,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,141,597.50 : 861,105,263 = 861,105,263 : x
  2. Step 2: Convert to fraction form
    365,141,597.50/861,105,263 = 861,105,263/x
  3. Step 3: Cross multiply
    365,141,597.50x = 861,105,263 × 861,105,263
  4. Step 4: Simplify right side
    365,141,597.50x = 741,502,273,966,299,136
  5. Step 5: Solve for x
    x = 741,502,273,966,299,136/365,141,597.50
  6. Step 6: Final answer
    x = 2,030,725,283.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.