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Finding the Third Proportional to 210,200,004 and 491,122,057.50

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Solution

The third proportional to 210,200,004 and 491,122,057.50 is: 1,147,482,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,200,004 : 491,122,057.50 = 491,122,057.50 : x
  2. Step 2: Convert to fraction form
    210,200,004/491,122,057.50 = 491,122,057.50/x
  3. Step 3: Cross multiply
    210,200,004x = 491,122,057.50 × 491,122,057.50
  4. Step 4: Simplify right side
    210,200,004x = 241,200,875,363,033,312
  5. Step 5: Solve for x
    x = 241,200,875,363,033,312/210,200,004
  6. Step 6: Final answer
    x = 1,147,482,734.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.