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Finding the Third Proportional to 149,886,731 and 346,966,173.50

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Solution

The third proportional to 149,886,731 and 346,966,173.50 is: 803,176,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,886,731 : 346,966,173.50 = 346,966,173.50 : x
  2. Step 2: Convert to fraction form
    149,886,731/346,966,173.50 = 346,966,173.50/x
  3. Step 3: Cross multiply
    149,886,731x = 346,966,173.50 × 346,966,173.50
  4. Step 4: Simplify right side
    149,886,731x = 120,385,525,553,232,096
  5. Step 5: Solve for x
    x = 120,385,525,553,232,096/149,886,731
  6. Step 6: Final answer
    x = 803,176,670.48

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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.