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Finding the Third Proportional to 234,969,819 and 508,991,358

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Solution

The third proportional to 234,969,819 and 508,991,358 is: 1,102,576,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,969,819 : 508,991,358 = 508,991,358 : x
  2. Step 2: Convert to fraction form
    234,969,819/508,991,358 = 508,991,358/x
  3. Step 3: Cross multiply
    234,969,819x = 508,991,358 × 508,991,358
  4. Step 4: Simplify right side
    234,969,819x = 259,072,202,518,684,160
  5. Step 5: Solve for x
    x = 259,072,202,518,684,160/234,969,819
  6. Step 6: Final answer
    x = 1,102,576,508.00

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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.