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Finding the Third Proportional to 75,710,477.25 and 164,706,979.50

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Solution

The third proportional to 75,710,477.25 and 164,706,979.50 is: 358,317,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,710,477.25 : 164,706,979.50 = 164,706,979.50 : x
  2. Step 2: Convert to fraction form
    75,710,477.25/164,706,979.50 = 164,706,979.50/x
  3. Step 3: Cross multiply
    75,710,477.25x = 164,706,979.50 × 164,706,979.50
  4. Step 4: Simplify right side
    75,710,477.25x = 27,128,389,096,013,420
  5. Step 5: Solve for x
    x = 27,128,389,096,013,420/75,710,477.25
  6. Step 6: Final answer
    x = 358,317,502.17

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