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Finding the Third Proportional to 140,506,195.50 and 205,966,369.50

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Solution

The third proportional to 140,506,195.50 and 205,966,369.50 is: 301,923,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,506,195.50 : 205,966,369.50 = 205,966,369.50 : x
  2. Step 2: Convert to fraction form
    140,506,195.50/205,966,369.50 = 205,966,369.50/x
  3. Step 3: Cross multiply
    140,506,195.50x = 205,966,369.50 × 205,966,369.50
  4. Step 4: Simplify right side
    140,506,195.50x = 42,422,145,365,010,528
  5. Step 5: Solve for x
    x = 42,422,145,365,010,528/140,506,195.50
  6. Step 6: Final answer
    x = 301,923,664.04

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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.