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Finding the Third Proportional to 210,235,784.50 and 452,820,235.50

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Solution

The third proportional to 210,235,784.50 and 452,820,235.50 is: 975,315,245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,235,784.50 : 452,820,235.50 = 452,820,235.50 : x
  2. Step 2: Convert to fraction form
    210,235,784.50/452,820,235.50 = 452,820,235.50/x
  3. Step 3: Cross multiply
    210,235,784.50x = 452,820,235.50 × 452,820,235.50
  4. Step 4: Simplify right side
    210,235,784.50x = 205,046,165,678,275,456
  5. Step 5: Solve for x
    x = 205,046,165,678,275,456/210,235,784.50
  6. Step 6: Final answer
    x = 975,315,245.05

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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.