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Finding the Third Proportional to 186,170,263.95 and 405,064,597.50

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Solution

The third proportional to 186,170,263.95 and 405,064,597.50 is: 881,329,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,170,263.95 : 405,064,597.50 = 405,064,597.50 : x
  2. Step 2: Convert to fraction form
    186,170,263.95/405,064,597.50 = 405,064,597.50/x
  3. Step 3: Cross multiply
    186,170,263.95x = 405,064,597.50 × 405,064,597.50
  4. Step 4: Simplify right side
    186,170,263.95x = 164,077,328,147,836,992
  5. Step 5: Solve for x
    x = 164,077,328,147,836,992/186,170,263.95
  6. Step 6: Final answer
    x = 881,329,406.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.