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Finding the Third Proportional to 210,675,154.50 and 452,413,053

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Solution

The third proportional to 210,675,154.50 and 452,413,053 is: 971,531,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,675,154.50 : 452,413,053 = 452,413,053 : x
  2. Step 2: Convert to fraction form
    210,675,154.50/452,413,053 = 452,413,053/x
  3. Step 3: Cross multiply
    210,675,154.50x = 452,413,053 × 452,413,053
  4. Step 4: Simplify right side
    210,675,154.50x = 204,677,570,524,780,800
  5. Step 5: Solve for x
    x = 204,677,570,524,780,800/210,675,154.50
  6. Step 6: Final answer
    x = 971,531,602.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.