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Finding the Third Proportional to 100,698,963 and 155,496,813.50

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Solution

The third proportional to 100,698,963 and 155,496,813.50 is: 240,114,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,963 : 155,496,813.50 = 155,496,813.50 : x
  2. Step 2: Convert to fraction form
    100,698,963/155,496,813.50 = 155,496,813.50/x
  3. Step 3: Cross multiply
    100,698,963x = 155,496,813.50 × 155,496,813.50
  4. Step 4: Simplify right side
    100,698,963x = 24,179,259,008,653,784
  5. Step 5: Solve for x
    x = 24,179,259,008,653,784/100,698,963
  6. Step 6: Final answer
    x = 240,114,280.11

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Why These Related Problems?

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