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Finding the Third Proportional to 96,995,818 and 210,136,037

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Solution

The third proportional to 96,995,818 and 210,136,037 is: 455,248,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,995,818 : 210,136,037 = 210,136,037 : x
  2. Step 2: Convert to fraction form
    96,995,818/210,136,037 = 210,136,037/x
  3. Step 3: Cross multiply
    96,995,818x = 210,136,037 × 210,136,037
  4. Step 4: Simplify right side
    96,995,818x = 44,157,154,046,065,368
  5. Step 5: Solve for x
    x = 44,157,154,046,065,368/96,995,818
  6. Step 6: Final answer
    x = 455,248,019.52

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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.