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Finding the Third Proportional to 191,896,598.50 and 280,648,283.25

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Solution

The third proportional to 191,896,598.50 and 280,648,283.25 is: 410,447,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,896,598.50 : 280,648,283.25 = 280,648,283.25 : x
  2. Step 2: Convert to fraction form
    191,896,598.50/280,648,283.25 = 280,648,283.25/x
  3. Step 3: Cross multiply
    191,896,598.50x = 280,648,283.25 × 280,648,283.25
  4. Step 4: Simplify right side
    191,896,598.50x = 78,763,458,891,172,224
  5. Step 5: Solve for x
    x = 78,763,458,891,172,224/191,896,598.50
  6. Step 6: Final answer
    x = 410,447,394.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.