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Finding the Third Proportional to 100,698,971 and 155,496,826

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Solution

The third proportional to 100,698,971 and 155,496,826 is: 240,114,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,971 : 155,496,826 = 155,496,826 : x
  2. Step 2: Convert to fraction form
    100,698,971/155,496,826 = 155,496,826/x
  3. Step 3: Cross multiply
    100,698,971x = 155,496,826 × 155,496,826
  4. Step 4: Simplify right side
    100,698,971x = 24,179,262,896,074,276
  5. Step 5: Solve for x
    x = 24,179,262,896,074,276/100,698,971
  6. Step 6: Final answer
    x = 240,114,299.64

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.