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Finding the Third Proportional to 358,789,567.50 and 562,099,105.13

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Solution

The third proportional to 358,789,567.50 and 562,099,105.13 is: 880,614,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,789,567.50 : 562,099,105.13 = 562,099,105.13 : x
  2. Step 2: Convert to fraction form
    358,789,567.50/562,099,105.13 = 562,099,105.13/x
  3. Step 3: Cross multiply
    358,789,567.50x = 562,099,105.13 × 562,099,105.13
  4. Step 4: Simplify right side
    358,789,567.50x = 315,955,403,982,325,824
  5. Step 5: Solve for x
    x = 315,955,403,982,325,824/358,789,567.50
  6. Step 6: Final answer
    x = 880,614,802.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.