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Finding the Third Proportional to 91,537,402 and 138,157,352

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Solution

The third proportional to 91,537,402 and 138,157,352 is: 208,520,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,537,402 : 138,157,352 = 138,157,352 : x
  2. Step 2: Convert to fraction form
    91,537,402/138,157,352 = 138,157,352/x
  3. Step 3: Cross multiply
    91,537,402x = 138,157,352 × 138,157,352
  4. Step 4: Simplify right side
    91,537,402x = 19,087,453,911,651,904
  5. Step 5: Solve for x
    x = 19,087,453,911,651,904/91,537,402
  6. Step 6: Final answer
    x = 208,520,817.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.