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Finding the Third Proportional to 68,106,688.31 and 105,748,648.88

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Solution

The third proportional to 68,106,688.31 and 105,748,648.88 is: 164,194,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,106,688.31 : 105,748,648.88 = 105,748,648.88 : x
  2. Step 2: Convert to fraction form
    68,106,688.31/105,748,648.88 = 105,748,648.88/x
  3. Step 3: Cross multiply
    68,106,688.31x = 105,748,648.88 × 105,748,648.88
  4. Step 4: Simplify right side
    68,106,688.31x = 11,182,776,738,888,038
  5. Step 5: Solve for x
    x = 11,182,776,738,888,038/68,106,688.31
  6. Step 6: Final answer
    x = 164,194,986.07

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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.