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Finding the Third Proportional to 218,240,698.50 and 472,806,297

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Solution

The third proportional to 218,240,698.50 and 472,806,297 is: 1,024,308,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,240,698.50 : 472,806,297 = 472,806,297 : x
  2. Step 2: Convert to fraction form
    218,240,698.50/472,806,297 = 472,806,297/x
  3. Step 3: Cross multiply
    218,240,698.50x = 472,806,297 × 472,806,297
  4. Step 4: Simplify right side
    218,240,698.50x = 223,545,794,482,852,224
  5. Step 5: Solve for x
    x = 223,545,794,482,852,224/218,240,698.50
  6. Step 6: Final answer
    x = 1,024,308,463.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.