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Finding the Third Proportional to 112,415,106 and 260,224,764

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Solution

The third proportional to 112,415,106 and 260,224,764 is: 602,382,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,415,106 : 260,224,764 = 260,224,764 : x
  2. Step 2: Convert to fraction form
    112,415,106/260,224,764 = 260,224,764/x
  3. Step 3: Cross multiply
    112,415,106x = 260,224,764 × 260,224,764
  4. Step 4: Simplify right side
    112,415,106x = 67,716,927,798,855,696
  5. Step 5: Solve for x
    x = 67,716,927,798,855,696/112,415,106
  6. Step 6: Final answer
    x = 602,382,813.20

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.