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Finding the Third Proportional to 242,009,698.13 and 365,895,798

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Solution

The third proportional to 242,009,698.13 and 365,895,798 is: 553,199,876.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,009,698.13 : 365,895,798 = 365,895,798 : x
  2. Step 2: Convert to fraction form
    242,009,698.13/365,895,798 = 365,895,798/x
  3. Step 3: Cross multiply
    242,009,698.13x = 365,895,798 × 365,895,798
  4. Step 4: Simplify right side
    242,009,698.13x = 133,879,734,994,056,800
  5. Step 5: Solve for x
    x = 133,879,734,994,056,800/242,009,698.13
  6. Step 6: Final answer
    x = 553,199,876.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.