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Finding the Third Proportional to 119,343,136.50 and 257,049,783

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Solution

The third proportional to 119,343,136.50 and 257,049,783 is: 553,652,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,343,136.50 : 257,049,783 = 257,049,783 : x
  2. Step 2: Convert to fraction form
    119,343,136.50/257,049,783 = 257,049,783/x
  3. Step 3: Cross multiply
    119,343,136.50x = 257,049,783 × 257,049,783
  4. Step 4: Simplify right side
    119,343,136.50x = 66,074,590,940,347,088
  5. Step 5: Solve for x
    x = 66,074,590,940,347,088/119,343,136.50
  6. Step 6: Final answer
    x = 553,652,207.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.