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Finding the Third Proportional to 243,585,152 and 351,938,480

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Solution

The third proportional to 243,585,152 and 351,938,480 is: 508,490,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,585,152 : 351,938,480 = 351,938,480 : x
  2. Step 2: Convert to fraction form
    243,585,152/351,938,480 = 351,938,480/x
  3. Step 3: Cross multiply
    243,585,152x = 351,938,480 × 351,938,480
  4. Step 4: Simplify right side
    243,585,152x = 123,860,693,704,710,400
  5. Step 5: Solve for x
    x = 123,860,693,704,710,400/243,585,152
  6. Step 6: Final answer
    x = 508,490,327.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.