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Finding the Third Proportional to 104,213,658 and 153,289,210.50

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Solution

The third proportional to 104,213,658 and 153,289,210.50 is: 225,475,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,213,658 : 153,289,210.50 = 153,289,210.50 : x
  2. Step 2: Convert to fraction form
    104,213,658/153,289,210.50 = 153,289,210.50/x
  3. Step 3: Cross multiply
    104,213,658x = 153,289,210.50 × 153,289,210.50
  4. Step 4: Simplify right side
    104,213,658x = 23,497,582,055,713,312
  5. Step 5: Solve for x
    x = 23,497,582,055,713,312/104,213,658
  6. Step 6: Final answer
    x = 225,475,072.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.