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Finding the Third Proportional to 225,530,922 and 358,867,762.50

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Solution

The third proportional to 225,530,922 and 358,867,762.50 is: 571,035,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,530,922 : 358,867,762.50 = 358,867,762.50 : x
  2. Step 2: Convert to fraction form
    225,530,922/358,867,762.50 = 358,867,762.50/x
  3. Step 3: Cross multiply
    225,530,922x = 358,867,762.50 × 358,867,762.50
  4. Step 4: Simplify right side
    225,530,922x = 128,786,070,961,756,400
  5. Step 5: Solve for x
    x = 128,786,070,961,756,400/225,530,922
  6. Step 6: Final answer
    x = 571,035,092.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.