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Finding the Third Proportional to 133,771,590 and 293,849,506.50

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Solution

The third proportional to 133,771,590 and 293,849,506.50 is: 645,484,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,771,590 : 293,849,506.50 = 293,849,506.50 : x
  2. Step 2: Convert to fraction form
    133,771,590/293,849,506.50 = 293,849,506.50/x
  3. Step 3: Cross multiply
    133,771,590x = 293,849,506.50 × 293,849,506.50
  4. Step 4: Simplify right side
    133,771,590x = 86,347,532,470,293,536
  5. Step 5: Solve for x
    x = 86,347,532,470,293,536/133,771,590
  6. Step 6: Final answer
    x = 645,484,833.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.