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Finding the Third Proportional to 228,407,044 and 338,462,678

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Solution

The third proportional to 228,407,044 and 338,462,678 is: 501,547,510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,407,044 : 338,462,678 = 338,462,678 : x
  2. Step 2: Convert to fraction form
    228,407,044/338,462,678 = 338,462,678/x
  3. Step 3: Cross multiply
    228,407,044x = 338,462,678 × 338,462,678
  4. Step 4: Simplify right side
    228,407,044x = 114,556,984,398,931,680
  5. Step 5: Solve for x
    x = 114,556,984,398,931,680/228,407,044
  6. Step 6: Final answer
    x = 501,547,510.94

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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.