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Finding the Third Proportional to 145,724,784.75 and 208,388,156.63

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Solution

The third proportional to 145,724,784.75 and 208,388,156.63 is: 297,997,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,724,784.75 : 208,388,156.63 = 208,388,156.63 : x
  2. Step 2: Convert to fraction form
    145,724,784.75/208,388,156.63 = 208,388,156.63/x
  3. Step 3: Cross multiply
    145,724,784.75x = 208,388,156.63 × 208,388,156.63
  4. Step 4: Simplify right side
    145,724,784.75x = 43,425,623,821,565,528
  5. Step 5: Solve for x
    x = 43,425,623,821,565,528/145,724,784.75
  6. Step 6: Final answer
    x = 297,997,515.63

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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.