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Finding the Third Proportional to 146,044,792.13 and 208,830,487.50

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Solution

The third proportional to 146,044,792.13 and 208,830,487.50 is: 298,608,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,044,792.13 : 208,830,487.50 = 208,830,487.50 : x
  2. Step 2: Convert to fraction form
    146,044,792.13/208,830,487.50 = 208,830,487.50/x
  3. Step 3: Cross multiply
    146,044,792.13x = 208,830,487.50 × 208,830,487.50
  4. Step 4: Simplify right side
    146,044,792.13x = 43,610,172,509,487,656
  5. Step 5: Solve for x
    x = 43,610,172,509,487,656/146,044,792.13
  6. Step 6: Final answer
    x = 298,608,200.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.