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Finding the Third Proportional to 73,950,640 and 115,402,795.50

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Solution

The third proportional to 73,950,640 and 115,402,795.50 is: 180,090,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,950,640 : 115,402,795.50 = 115,402,795.50 : x
  2. Step 2: Convert to fraction form
    73,950,640/115,402,795.50 = 115,402,795.50/x
  3. Step 3: Cross multiply
    73,950,640x = 115,402,795.50 × 115,402,795.50
  4. Step 4: Simplify right side
    73,950,640x = 13,317,805,209,214,820
  5. Step 5: Solve for x
    x = 13,317,805,209,214,820/73,950,640
  6. Step 6: Final answer
    x = 180,090,465.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.