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Finding the Third Proportional to 132,828,292.50 and 208,349,516.63

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Solution

The third proportional to 132,828,292.50 and 208,349,516.63 is: 326,809,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,828,292.50 : 208,349,516.63 = 208,349,516.63 : x
  2. Step 2: Convert to fraction form
    132,828,292.50/208,349,516.63 = 208,349,516.63/x
  3. Step 3: Cross multiply
    132,828,292.50x = 208,349,516.63 × 208,349,516.63
  4. Step 4: Simplify right side
    132,828,292.50x = 43,409,521,077,871,152
  5. Step 5: Solve for x
    x = 43,409,521,077,871,152/132,828,292.50
  6. Step 6: Final answer
    x = 326,809,298.39

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.