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Finding the Third Proportional to 53,137,596 and 86,768,905.50

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Solution

The third proportional to 53,137,596 and 86,768,905.50 is: 141,685,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,137,596 : 86,768,905.50 = 86,768,905.50 : x
  2. Step 2: Convert to fraction form
    53,137,596/86,768,905.50 = 86,768,905.50/x
  3. Step 3: Cross multiply
    53,137,596x = 86,768,905.50 × 86,768,905.50
  4. Step 4: Simplify right side
    53,137,596x = 7,528,842,961,667,930
  5. Step 5: Solve for x
    x = 7,528,842,961,667,930/53,137,596
  6. Step 6: Final answer
    x = 141,685,803.05

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.