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Finding the Third Proportional to 96,995,816.25 and 210,136,032.50

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Solution

The third proportional to 96,995,816.25 and 210,136,032.50 is: 455,248,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,995,816.25 : 210,136,032.50 = 210,136,032.50 : x
  2. Step 2: Convert to fraction form
    96,995,816.25/210,136,032.50 = 210,136,032.50/x
  3. Step 3: Cross multiply
    96,995,816.25x = 210,136,032.50 × 210,136,032.50
  4. Step 4: Simplify right side
    96,995,816.25x = 44,157,152,154,841,056
  5. Step 5: Solve for x
    x = 44,157,152,154,841,056/96,995,816.25
  6. Step 6: Final answer
    x = 455,248,008.23

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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.