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Finding the Third Proportional to 66,289,313.25 and 156,262,341.38

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Solution

The third proportional to 66,289,313.25 and 156,262,341.38 is: 368,353,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,289,313.25 : 156,262,341.38 = 156,262,341.38 : x
  2. Step 2: Convert to fraction form
    66,289,313.25/156,262,341.38 = 156,262,341.38/x
  3. Step 3: Cross multiply
    66,289,313.25x = 156,262,341.38 × 156,262,341.38
  4. Step 4: Simplify right side
    66,289,313.25x = 24,417,919,331,997,036
  5. Step 5: Solve for x
    x = 24,417,919,331,997,036/66,289,313.25
  6. Step 6: Final answer
    x = 368,353,783.36

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.