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Finding the Third Proportional to 238,823,164.13 and 510,846,886.69

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Solution

The third proportional to 238,823,164.13 and 510,846,886.69 is: 1,092,710,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,823,164.13 : 510,846,886.69 = 510,846,886.69 : x
  2. Step 2: Convert to fraction form
    238,823,164.13/510,846,886.69 = 510,846,886.69/x
  3. Step 3: Cross multiply
    238,823,164.13x = 510,846,886.69 × 510,846,886.69
  4. Step 4: Simplify right side
    238,823,164.13x = 260,964,541,638,311,456
  5. Step 5: Solve for x
    x = 260,964,541,638,311,456/238,823,164.13
  6. Step 6: Final answer
    x = 1,092,710,343.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.