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Finding the Third Proportional to 115,046,438 and 155,485,782.50

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Solution

The third proportional to 115,046,438 and 155,485,782.50 is: 210,139,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,046,438 : 155,485,782.50 = 155,485,782.50 : x
  2. Step 2: Convert to fraction form
    115,046,438/155,485,782.50 = 155,485,782.50/x
  3. Step 3: Cross multiply
    115,046,438x = 155,485,782.50 × 155,485,782.50
  4. Step 4: Simplify right side
    115,046,438x = 24,175,828,559,637,308
  5. Step 5: Solve for x
    x = 24,175,828,559,637,308/115,046,438
  6. Step 6: Final answer
    x = 210,139,739.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.