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Finding the Third Proportional to 228,047,283 and 497,895,709.50

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Solution

The third proportional to 228,047,283 and 497,895,709.50 is: 1,087,055,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,047,283 : 497,895,709.50 = 497,895,709.50 : x
  2. Step 2: Convert to fraction form
    228,047,283/497,895,709.50 = 497,895,709.50/x
  3. Step 3: Cross multiply
    228,047,283x = 497,895,709.50 × 497,895,709.50
  4. Step 4: Simplify right side
    228,047,283x = 247,900,137,538,508,384
  5. Step 5: Solve for x
    x = 247,900,137,538,508,384/228,047,283
  6. Step 6: Final answer
    x = 1,087,055,869.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.