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Finding the Third Proportional to 152,778,684.38 and 242,316,453.94

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Solution

The third proportional to 152,778,684.38 and 242,316,453.94 is: 384,328,900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,778,684.38 : 242,316,453.94 = 242,316,453.94 : x
  2. Step 2: Convert to fraction form
    152,778,684.38/242,316,453.94 = 242,316,453.94/x
  3. Step 3: Cross multiply
    152,778,684.38x = 242,316,453.94 × 242,316,453.94
  4. Step 4: Simplify right side
    152,778,684.38x = 58,717,263,848,844,560
  5. Step 5: Solve for x
    x = 58,717,263,848,844,560/152,778,684.38
  6. Step 6: Final answer
    x = 384,328,900.91

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.