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Finding the Third Proportional to 233,946,990 and 506,904,768

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Solution

The third proportional to 233,946,990 and 506,904,768 is: 1,098,336,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,946,990 : 506,904,768 = 506,904,768 : x
  2. Step 2: Convert to fraction form
    233,946,990/506,904,768 = 506,904,768/x
  3. Step 3: Cross multiply
    233,946,990x = 506,904,768 × 506,904,768
  4. Step 4: Simplify right side
    233,946,990x = 256,952,443,821,133,824
  5. Step 5: Solve for x
    x = 256,952,443,821,133,824/233,946,990
  6. Step 6: Final answer
    x = 1,098,336,182.15

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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.