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Finding the Third Proportional to 152,778,402 and 242,316,029

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Solution

The third proportional to 152,778,402 and 242,316,029 is: 384,328,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,778,402 : 242,316,029 = 242,316,029 : x
  2. Step 2: Convert to fraction form
    152,778,402/242,316,029 = 242,316,029/x
  3. Step 3: Cross multiply
    152,778,402x = 242,316,029 × 242,316,029
  4. Step 4: Simplify right side
    152,778,402x = 58,717,057,910,328,840
  5. Step 5: Solve for x
    x = 58,717,057,910,328,840/152,778,402
  6. Step 6: Final answer
    x = 384,328,263.30

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Why These Related Problems?

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