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Finding the Third Proportional to 234,447,480 and 344,648,196

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Solution

The third proportional to 234,447,480 and 344,648,196 is: 506,648,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,447,480 : 344,648,196 = 344,648,196 : x
  2. Step 2: Convert to fraction form
    234,447,480/344,648,196 = 344,648,196/x
  3. Step 3: Cross multiply
    234,447,480x = 344,648,196 × 344,648,196
  4. Step 4: Simplify right side
    234,447,480x = 118,782,379,006,054,416
  5. Step 5: Solve for x
    x = 118,782,379,006,054,416/234,447,480
  6. Step 6: Final answer
    x = 506,648,137.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.