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Finding the Third Proportional to 238,196,065.88 and 515,963,581.50

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Solution

The third proportional to 238,196,065.88 and 515,963,581.50 is: 1,117,644,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,196,065.88 : 515,963,581.50 = 515,963,581.50 : x
  2. Step 2: Convert to fraction form
    238,196,065.88/515,963,581.50 = 515,963,581.50/x
  3. Step 3: Cross multiply
    238,196,065.88x = 515,963,581.50 × 515,963,581.50
  4. Step 4: Simplify right side
    238,196,065.88x = 266,218,417,434,307,136
  5. Step 5: Solve for x
    x = 266,218,417,434,307,136/238,196,065.88
  6. Step 6: Final answer
    x = 1,117,644,057.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.