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Finding the Third Proportional to 65,990,702.81 and 99,835,405.88

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Solution

The third proportional to 65,990,702.81 and 99,835,405.88 is: 151,038,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,990,702.81 : 99,835,405.88 = 99,835,405.88 : x
  2. Step 2: Convert to fraction form
    65,990,702.81/99,835,405.88 = 99,835,405.88/x
  3. Step 3: Cross multiply
    65,990,702.81x = 99,835,405.88 × 99,835,405.88
  4. Step 4: Simplify right side
    65,990,702.81x = 9,967,108,266,225,984
  5. Step 5: Solve for x
    x = 9,967,108,266,225,984/65,990,702.81
  6. Step 6: Final answer
    x = 151,038,068.11

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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.