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Finding the Third Proportional to 107,870,136 and 237,727,641

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Solution

The third proportional to 107,870,136 and 237,727,641 is: 523,911,746.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,870,136 : 237,727,641 = 237,727,641 : x
  2. Step 2: Convert to fraction form
    107,870,136/237,727,641 = 237,727,641/x
  3. Step 3: Cross multiply
    107,870,136x = 237,727,641 × 237,727,641
  4. Step 4: Simplify right side
    107,870,136x = 56,514,431,295,424,880
  5. Step 5: Solve for x
    x = 56,514,431,295,424,880/107,870,136
  6. Step 6: Final answer
    x = 523,911,746.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.