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Finding the Third Proportional to 170,523,066.80 and 369,989,267.48

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Solution

The third proportional to 170,523,066.80 and 369,989,267.48 is: 802,777,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,523,066.80 : 369,989,267.48 = 369,989,267.48 : x
  2. Step 2: Convert to fraction form
    170,523,066.80/369,989,267.48 = 369,989,267.48/x
  3. Step 3: Cross multiply
    170,523,066.80x = 369,989,267.48 × 369,989,267.48
  4. Step 4: Simplify right side
    170,523,066.80x = 136,892,058,053,628,096
  5. Step 5: Solve for x
    x = 136,892,058,053,628,096/170,523,066.80
  6. Step 6: Final answer
    x = 802,777,363.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.