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Finding the Third Proportional to 86,572,378,658.81 and 186,173,602,615.12

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Solution

The third proportional to 86,572,378,658.81 and 186,173,602,615.12 is: 400,365,692,241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,572,378,658.81 : 186,173,602,615.12 = 186,173,602,615.12 : x
  2. Step 2: Convert to fraction form
    86,572,378,658.81/186,173,602,615.12 = 186,173,602,615.12/x
  3. Step 3: Cross multiply
    86,572,378,658.81x = 186,173,602,615.12 × 186,173,602,615.12
  4. Step 4: Simplify right side
    86,572,378,658.81x = 34,660,610,310,692,614,963,200
  5. Step 5: Solve for x
    x = 34,660,610,310,692,614,963,200/86,572,378,658.81
  6. Step 6: Final answer
    x = 400,365,692,241.09

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