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Finding the Third Proportional to 199,124,276.06 and 312,366,950.44

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Solution

The third proportional to 199,124,276.06 and 312,366,950.44 is: 490,011,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,124,276.06 : 312,366,950.44 = 312,366,950.44 : x
  2. Step 2: Convert to fraction form
    199,124,276.06/312,366,950.44 = 312,366,950.44/x
  3. Step 3: Cross multiply
    199,124,276.06x = 312,366,950.44 × 312,366,950.44
  4. Step 4: Simplify right side
    199,124,276.06x = 97,573,111,725,623,584
  5. Step 5: Solve for x
    x = 97,573,111,725,623,584/199,124,276.06
  6. Step 6: Final answer
    x = 490,011,131.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.