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Finding the Third Proportional to 78,210,868 and 106,509,853

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Solution

The third proportional to 78,210,868 and 106,509,853 is: 145,048,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,210,868 : 106,509,853 = 106,509,853 : x
  2. Step 2: Convert to fraction form
    78,210,868/106,509,853 = 106,509,853/x
  3. Step 3: Cross multiply
    78,210,868x = 106,509,853 × 106,509,853
  4. Step 4: Simplify right side
    78,210,868x = 11,344,348,786,081,608
  5. Step 5: Solve for x
    x = 11,344,348,786,081,608/78,210,868
  6. Step 6: Final answer
    x = 145,048,240.43

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.