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Finding the Third Proportional to 209,460,046.50 and 440,627,161.50

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Solution

The third proportional to 209,460,046.50 and 440,627,161.50 is: 926,918,038.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,460,046.50 : 440,627,161.50 = 440,627,161.50 : x
  2. Step 2: Convert to fraction form
    209,460,046.50/440,627,161.50 = 440,627,161.50/x
  3. Step 3: Cross multiply
    209,460,046.50x = 440,627,161.50 × 440,627,161.50
  4. Step 4: Simplify right side
    209,460,046.50x = 194,152,295,451,547,072
  5. Step 5: Solve for x
    x = 194,152,295,451,547,072/209,460,046.50
  6. Step 6: Final answer
    x = 926,918,038.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.