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Finding the Third Proportional to 228,888,036 and 490,502,664

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Solution

The third proportional to 228,888,036 and 490,502,664 is: 1,051,137,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,888,036 : 490,502,664 = 490,502,664 : x
  2. Step 2: Convert to fraction form
    228,888,036/490,502,664 = 490,502,664/x
  3. Step 3: Cross multiply
    228,888,036x = 490,502,664 × 490,502,664
  4. Step 4: Simplify right side
    228,888,036x = 240,592,863,391,096,896
  5. Step 5: Solve for x
    x = 240,592,863,391,096,896/228,888,036
  6. Step 6: Final answer
    x = 1,051,137,785.95

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Why These Related Problems?

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