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Finding the Third Proportional to 226,223,053 and 345,909,025.50

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Solution

The third proportional to 226,223,053 and 345,909,025.50 is: 528,916,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,223,053 : 345,909,025.50 = 345,909,025.50 : x
  2. Step 2: Convert to fraction form
    226,223,053/345,909,025.50 = 345,909,025.50/x
  3. Step 3: Cross multiply
    226,223,053x = 345,909,025.50 × 345,909,025.50
  4. Step 4: Simplify right side
    226,223,053x = 119,653,053,922,359,648
  5. Step 5: Solve for x
    x = 119,653,053,922,359,648/226,223,053
  6. Step 6: Final answer
    x = 528,916,272.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.