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Finding the Third Proportional to 228,407,040 and 338,462,671.50

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Solution

The third proportional to 228,407,040 and 338,462,671.50 is: 501,547,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,407,040 : 338,462,671.50 = 338,462,671.50 : x
  2. Step 2: Convert to fraction form
    228,407,040/338,462,671.50 = 338,462,671.50/x
  3. Step 3: Cross multiply
    228,407,040x = 338,462,671.50 × 338,462,671.50
  4. Step 4: Simplify right side
    228,407,040x = 114,556,979,998,916,912
  5. Step 5: Solve for x
    x = 114,556,979,998,916,912/228,407,040
  6. Step 6: Final answer
    x = 501,547,500.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.