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Finding the Third Proportional to 197,417,235 and 315,254,812.50

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Solution

The third proportional to 197,417,235 and 315,254,812.50 is: 503,429,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,417,235 : 315,254,812.50 = 315,254,812.50 : x
  2. Step 2: Convert to fraction form
    197,417,235/315,254,812.50 = 315,254,812.50/x
  3. Step 3: Cross multiply
    197,417,235x = 315,254,812.50 × 315,254,812.50
  4. Step 4: Simplify right side
    197,417,235x = 99,385,596,804,410,160
  5. Step 5: Solve for x
    x = 99,385,596,804,410,160/197,417,235
  6. Step 6: Final answer
    x = 503,429,180.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.