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Finding the Third Proportional to 152,307,258 and 232,032,015

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Solution

The third proportional to 152,307,258 and 232,032,015 is: 353,488,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307,258 : 232,032,015 = 232,032,015 : x
  2. Step 2: Convert to fraction form
    152,307,258/232,032,015 = 232,032,015/x
  3. Step 3: Cross multiply
    152,307,258x = 232,032,015 × 232,032,015
  4. Step 4: Simplify right side
    152,307,258x = 53,838,855,984,960,224
  5. Step 5: Solve for x
    x = 53,838,855,984,960,224/152,307,258
  6. Step 6: Final answer
    x = 353,488,446.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.