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Finding the Third Proportional to 96,995,816 and 210,136,032

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Solution

The third proportional to 96,995,816 and 210,136,032 is: 455,248,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,995,816 : 210,136,032 = 210,136,032 : x
  2. Step 2: Convert to fraction form
    96,995,816/210,136,032 = 210,136,032/x
  3. Step 3: Cross multiply
    96,995,816x = 210,136,032 × 210,136,032
  4. Step 4: Simplify right side
    96,995,816x = 44,157,151,944,705,024
  5. Step 5: Solve for x
    x = 44,157,151,944,705,024/96,995,816
  6. Step 6: Final answer
    x = 455,248,007.24

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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.