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Finding the Third Proportional to 68,106,827.50 and 105,748,865

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Solution

The third proportional to 68,106,827.50 and 105,748,865 is: 164,195,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,106,827.50 : 105,748,865 = 105,748,865 : x
  2. Step 2: Convert to fraction form
    68,106,827.50/105,748,865 = 105,748,865/x
  3. Step 3: Cross multiply
    68,106,827.50x = 105,748,865 × 105,748,865
  4. Step 4: Simplify right side
    68,106,827.50x = 11,182,822,448,788,224
  5. Step 5: Solve for x
    x = 11,182,822,448,788,224/68,106,827.50
  6. Step 6: Final answer
    x = 164,195,321.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.