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Finding the Third Proportional to 223,473,018 and 344,774,982

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Solution

The third proportional to 223,473,018 and 344,774,982 is: 531,920,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,473,018 : 344,774,982 = 344,774,982 : x
  2. Step 2: Convert to fraction form
    223,473,018/344,774,982 = 344,774,982/x
  3. Step 3: Cross multiply
    223,473,018x = 344,774,982 × 344,774,982
  4. Step 4: Simplify right side
    223,473,018x = 118,869,788,213,100,320
  5. Step 5: Solve for x
    x = 118,869,788,213,100,320/223,473,018
  6. Step 6: Final answer
    x = 531,920,091.64

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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.