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Finding the Third Proportional to 285,161,400 and 611,249,220

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Solution

The third proportional to 285,161,400 and 611,249,220 is: 1,310,225,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,161,400 : 611,249,220 = 611,249,220 : x
  2. Step 2: Convert to fraction form
    285,161,400/611,249,220 = 611,249,220/x
  3. Step 3: Cross multiply
    285,161,400x = 611,249,220 × 611,249,220
  4. Step 4: Simplify right side
    285,161,400x = 373,625,608,950,608,384
  5. Step 5: Solve for x
    x = 373,625,608,950,608,384/285,161,400
  6. Step 6: Final answer
    x = 1,310,225,047.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.