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Finding the Third Proportional to 95,702,296.50 and 209,931,237

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Solution

The third proportional to 95,702,296.50 and 209,931,237 is: 460,502,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,702,296.50 : 209,931,237 = 209,931,237 : x
  2. Step 2: Convert to fraction form
    95,702,296.50/209,931,237 = 209,931,237/x
  3. Step 3: Cross multiply
    95,702,296.50x = 209,931,237 × 209,931,237
  4. Step 4: Simplify right side
    95,702,296.50x = 44,071,124,268,350,168
  5. Step 5: Solve for x
    x = 44,071,124,268,350,168/95,702,296.50
  6. Step 6: Final answer
    x = 460,502,264.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.