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Finding the Third Proportional to 99,645,913.65 and 217,423,970.93

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Solution

The third proportional to 99,645,913.65 and 217,423,970.93 is: 474,411,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,645,913.65 : 217,423,970.93 = 217,423,970.93 : x
  2. Step 2: Convert to fraction form
    99,645,913.65/217,423,970.93 = 217,423,970.93/x
  3. Step 3: Cross multiply
    99,645,913.65x = 217,423,970.93 × 217,423,970.93
  4. Step 4: Simplify right side
    99,645,913.65x = 47,273,183,134,830,328
  5. Step 5: Solve for x
    x = 47,273,183,134,830,328/99,645,913.65
  6. Step 6: Final answer
    x = 474,411,658.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.