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Finding the Third Proportional to 211,637,653.50 and 431,778,322.50

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Solution

The third proportional to 211,637,653.50 and 431,778,322.50 is: 880,904,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,637,653.50 : 431,778,322.50 = 431,778,322.50 : x
  2. Step 2: Convert to fraction form
    211,637,653.50/431,778,322.50 = 431,778,322.50/x
  3. Step 3: Cross multiply
    211,637,653.50x = 431,778,322.50 × 431,778,322.50
  4. Step 4: Simplify right side
    211,637,653.50x = 186,432,519,780,914,016
  5. Step 5: Solve for x
    x = 186,432,519,780,914,016/211,637,653.50
  6. Step 6: Final answer
    x = 880,904,303.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.