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Finding the Third Proportional to 295,802,555 and 461,611,156.50

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Solution

The third proportional to 295,802,555 and 461,611,156.50 is: 720,361,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,802,555 : 461,611,156.50 = 461,611,156.50 : x
  2. Step 2: Convert to fraction form
    295,802,555/461,611,156.50 = 461,611,156.50/x
  3. Step 3: Cross multiply
    295,802,555x = 461,611,156.50 × 461,611,156.50
  4. Step 4: Simplify right side
    295,802,555x = 213,084,859,805,267,488
  5. Step 5: Solve for x
    x = 213,084,859,805,267,488/295,802,555
  6. Step 6: Final answer
    x = 720,361,796.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.