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Finding the Third Proportional to 181,092,243 and 392,808,745.50

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Solution

The third proportional to 181,092,243 and 392,808,745.50 is: 852,044,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,092,243 : 392,808,745.50 = 392,808,745.50 : x
  2. Step 2: Convert to fraction form
    181,092,243/392,808,745.50 = 392,808,745.50/x
  3. Step 3: Cross multiply
    181,092,243x = 392,808,745.50 × 392,808,745.50
  4. Step 4: Simplify right side
    181,092,243x = 154,298,710,541,283,776
  5. Step 5: Solve for x
    x = 154,298,710,541,283,776/181,092,243
  6. Step 6: Final answer
    x = 852,044,836.30

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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.