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Finding the Third Proportional to 226,518,822 and 349,792,384.50

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Solution

The third proportional to 226,518,822 and 349,792,384.50 is: 540,152,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,518,822 : 349,792,384.50 = 349,792,384.50 : x
  2. Step 2: Convert to fraction form
    226,518,822/349,792,384.50 = 349,792,384.50/x
  3. Step 3: Cross multiply
    226,518,822x = 349,792,384.50 × 349,792,384.50
  4. Step 4: Simplify right side
    226,518,822x = 122,354,712,254,195,840
  5. Step 5: Solve for x
    x = 122,354,712,254,195,840/226,518,822
  6. Step 6: Final answer
    x = 540,152,518.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.